\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute the number of positive divisors of \(360\). Hint. Each positive divisor of \(n = \prod p_i^{\alpha_i}\) is of the form \(\prod p_i^{\beta_i}\) with \(0 \leq \beta_i \leq \alpha_i\).
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